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Finding the Third Proportional to 345,135.94 and 745,399.13

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Solution

The third proportional to 345,135.94 and 745,399.13 is: 1,609,858.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,135.94 : 745,399.13 = 745,399.13 : x
  2. Step 2: Convert to fraction form
    345,135.94/745,399.13 = 745,399.13/x
  3. Step 3: Cross multiply
    345,135.94x = 745,399.13 × 745,399.13
  4. Step 4: Simplify right side
    345,135.94x = 555,619,855,550.77
  5. Step 5: Solve for x
    x = 555,619,855,550.77/345,135.94
  6. Step 6: Final answer
    x = 1,609,858.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.